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3013327578112 = 21080911933049
BaseRepresentation
bin101011110110011000010…
…100011110010000000000
3101200001220222110101121021
4223312120110132100000
5343332243324444422
610224145323435224
7430464031541665
oct53663024362000
911601828411537
103013327578112
11a61a43951445
12408005385b14
1318b203a371b7
14a5bbad73a6c
15535b4800dc7
hex2bd9851e400

3013327578112 has 88 divisors (see below), whose sum is σ = 6038193519000. Its totient is φ = 1503046926336.

The previous prime is 3013327578083. The next prime is 3013327578127. The reversal of 3013327578112 is 2118757233103.

It can be written as a sum of positive squares in 4 ways, for example, as 435684484096 + 2577643094016 = 660064^2 + 1605504^2 .

It is a super-2 number, since 2×30133275781122 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988298764 + ... + 988301812.

Almost surely, 23013327578112 is an apocalyptic number.

3013327578112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3013327578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019096759500).

3013327578112 is an abundant number, since it is smaller than the sum of its proper divisors (3024865940888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3013327578112 is a wasteful number, since it uses less digits than its factorization.

3013327578112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5071 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 3013327578112 in words is "three trillion, thirteen billion, three hundred twenty-seven million, five hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 809 1024 1193 1618 2386 3049 3236 4772 6098 6472 9544 12196 12944 19088 24392 25888 38176 48784 51776 76352 97568 103552 152704 195136 207104 305408 390272 414208 610816 780544 828416 965137 1221632 1561088 1930274 2466641 3122176 3637457 3860548 4933282 7274914 7721096 9866564 14549828 15442192 19733128 29099656 30884384 39466256 58199312 61768768 78932512 116398624 123537536 157865024 232797248 247075072 315730048 465594496 494150144 631460096 931188992 988300288 1262920192 1862377984 2525840384 2942702713 3724755968 5885405426 11770810852 23541621704 47083243408 94166486816 188332973632 376665947264 753331894528 1506663789056 3013327578112